Uniform and nonuniform estimates of the remainder term in a limit theorem with a stable limit law

Lithuanian Mathematical Journal -     

Estimate of the remainder term in Tate's formula

An estimate of the remainder term in Tate's formula is deduced and a property of finite order points of elliptic curves is pointed out.Translated from Matematicheskie Zametki, Vol. 3, No. 3, pp. 271–278, March, 1968.     

An estimate of the remainder term in the central limit theorem for r-independent random variables

We suggest a method for the investigation ofr-independent random variables by using multiplicative systems. An estimate of the remainder term in the central limit theorem forr-independent random variables is obtained.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 5, pp. 725–727, May, 1993.     

A sharpening of the remainder term in the higher-dimensional central limit theorem for multilinear rank statistics

A new approach to the asymptotic normality of the multivariate linear rank statistics is provided along with the Berry-Esséen and the Prohorov distance estimates for the remainder term in the convergence to normality.     

On estimation of the remainder in the central limit theorem

A nonuniform estimate of the remainder in the central limit theorem is obtained for a sequence of independent, identically distributed random variables. This estimate is a generalization of an earlier result of L. V. Osipov and the author. Bibliography: 5 titles. __________ Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 341, 2007, pp. 142–146.     

A nonuniform estimate of the remainder in the central limit theorem

In this note, a refinement and generalization of one result of V. V. Petrov are obtained. Bibliography: 4 titles. __________ Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 351, 2007, pp. 238–241.